What symbol is used to represent the union of two events?

What symbol is used to represent the union of two events?

• A. ∩
• B. ∪
• C. ∅
• D. !

Answer: (B)

The symbol representing the union of two events is indeed denoted by the symbol ∪. In the context of set theory and probability, the union of two sets A and B includes all elements that are in A, in B, or in both. This encompasses every outcome that occurs in either event. For instance, if event A represents rolling an even number on a die (2, 4, 6) and event B represents rolling a number greater than 3 (4, 5, 6), the union of these events, expressed as A ∪ B, consists of the numbers 2, 4, 5, and 6. The crucial aspect of the union is that it combines all unique elements from both sets without duplication. The other symbols provided do carry distinct meanings in set theory. The intersection symbol (∩) represents elements common to both sets, while the empty set (∅) signifies a set with no elements. The exclamation mark (!) is not used to denote a mathematical operation in this context. Thus, the union is correctly symbolized by ∪.

The symbol representing the union of two events is indeed denoted by the symbol ∪. In the context of set theory and probability, the union of two sets A and B includes all elements that are in A, in B, or in both. This encompasses every outcome that occurs in either event.

For instance, if event A represents rolling an even number on a die (2, 4, 6) and event B represents rolling a number greater than 3 (4, 5, 6), the union of these events, expressed as A ∪ B, consists of the numbers 2, 4, 5, and 6. The crucial aspect of the union is that it combines all unique elements from both sets without duplication.

The other symbols provided do carry distinct meanings in set theory. The intersection symbol (∩) represents elements common to both sets, while the empty set (∅) signifies a set with no elements. The exclamation mark (!) is not used to denote a mathematical operation in this context. Thus, the union is correctly symbolized by ∪.